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Home Question Bank Math Algebra Archive 2024 November 28

Algebra Questions from Nov 28,2024

Browse the Algebra Q&A Archive for Nov 28,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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14. Jika jumlah tak hingga deret \( a+1+\frac{1}{a}+\frac{1}{a^{2}}+\cdots \) adalah \( 4 a \), maka nilai \( a \) yang memenuhi deret geometri tersebut adalah ... \( \begin{array}{lllll}\text { a. } \frac{4}{5} & \text { b. } \frac{5}{4} & \text { C. } \frac{6}{5} & \text { d. } \frac{4}{5} & \text { e. } \frac{3}{4}\end{array} \) What is the equation of the line that passes through the point \( (-4,5) \) and has a slope of \( \frac{3}{4} \) ? 14. Jika jumlah tak hingga deret \( a+1+\frac{1}{a}+\frac{1}{a^{2}}+\cdots \) adalah \( 4 a \), maka nilai a yang memenuhi deret geometri tersebut adalah ... \( \begin{array}{lllll}\text { a. } \frac{4}{3} & \text { b. } \frac{5}{4} & \text { c. } \frac{6}{5} & \text { d. } \frac{4}{5} & \text { e. } \frac{3}{4}\end{array} \) of these are like terms in the following expression: \[ 3 x+9 x+2 x^{2} \] Resolver por el metodo de Cramer \( \begin{array}{l}\text { M. } 2 x-y-4 z=3 \\ -x+3 y+z=-10 \\ 3 x+2 y-2 z=-2\end{array} \) Actividad 5. Aplica el discriminante e indica Cuantas soluciones tienen las ecuaciones \( \begin{array}{l}\text { 1. } 3+4 x-x^{2}=0 \\ \text { 2. } 2 x-x^{2}=-7 \\ \text { 3. } 9 x^{2}+2=4 x \\ \text { 4. } 2 x^{2}-4 x+2=0 \\ \text { 5. } 6 x^{2}-2 x=0 \\ \text { 6. } 6 x-3 x^{2}-3=0 \\ \text { 7. } 8 x^{2}-2 x+9=0\end{array} \) The movement of the progress bar may be uneven because questions can be worth more or less (incluaing zero) depending on your answer. Several students attempted to solve the system of equations \( x+2 y=4 \) and \( -2 x-4 y=8 \). Which one is correct? Clasifica el siguiente polinomio como lineal, cuadrático o cúbico: \( -3x^{2} + 7 \). \( 2 d - \ldots ( 10 d + 5 ) = - 10 d - 6 \) Find the values of \( x \), which satisty inequation: \( -2 \leqslant \frac{1}{2}-\frac{2 x}{3} \leqslant 1 \frac{5}{6}, x \in N \)
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